Atkin-Lehner |
2+ 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
88752i |
Isogeny class |
Conductor |
88752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
-34080768 = -1 · 211 · 32 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 -3 4 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,72,180] |
[a1,a2,a3,a4,a6] |
Generators |
[12:54:1] |
Generators of the group modulo torsion |
j |
10750/9 |
j-invariant |
L |
8.9120134970636 |
L(r)(E,1)/r! |
Ω |
1.34008897067 |
Real period |
R |
1.6625786970769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44376b1 88752a1 |
Quadratic twists by: -4 -43 |